Pith Number

pith:UK47XIRX

pith:2010:UK47XIRX4DS54KOINA45Z6MWLM

not attested not anchored not stored refs pending

Extremal Sasakian Metrics on S^3-bundles over S^2

Charles P. Boyer

arxiv:1002.1049 v3 · 2010-02-04 · math.DG · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UK47XIRX4DS54KOINA45Z6MWLM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:30:26.425238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b9fba237e0e5de29c86839dcf9965b3e85c312038fd4f838168ffb671c52e2

Aliases

arxiv: 1002.1049 · arxiv_version: 1002.1049v3 · doi: 10.48550/arxiv.1002.1049 · pith_short_12: UK47XIRX4DS5 · pith_short_16: UK47XIRX4DS54KOI · pith_short_8: UK47XIRX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UK47XIRX4DS54KOINA45Z6MWLM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a2b9fba237e0e5de29c86839dcf9965b3e85c312038fd4f838168ffb671c52e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "514708d3e387d0de95eb86419439a9533d39e78854211daade1b2d44b975c6e0",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-02-04T17:55:58Z",
    "title_canon_sha256": "baaeb6deac5400107832718d507b3efe63e110a97b481d3818a4108ea731926c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1049",
    "kind": "arxiv",
    "version": 3
  }
}